QUESTION $1$

Suhaila has a long$-$time desire to own a villa in Maldives. She is working as a financial analyst at ADIA and has a good salary. She is thinking of setting up a saving plan to buy the villa in Maldives. She asked her agent in Maldives and was informed that the price of Villa is AED $896295,$ and its price is growing at $10$ percent per year. She decides to invest in a saving plan that will enable her to save money enough to buy the villa. She has found a saving plan that gives $18$ percent rate of return. How much should she invest in the saving plan at the end of each year for the next $6$ years in order to accumulate enough money to buy the villa in Maldives at the end of the $6$th year? Please write your final answer in the space provided below. Please provide complete details of the solution including the formula and the calculation steps in the space provided in the next question. Also, will your answer stay the same if his estimated price growth increases by $14$ percent and decrease by $14$ percent. Please provide the calculation details for both new growth rates as well as elaborate on the reason why your answer will change or will not change in the space provided in the next